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27888332004 = 223213221412
BaseRepresentation
bin11001111110010001…
…100010110011100100
32122222120211001110100
4121332101202303210
5424103403111004
620451155424100
72005045624251
oct317621426344
978876731410
1027888332004
1110911266675
1254a38b5030
132825a50400
1414c7c02428
15ad3559739
hex67e462ce4

27888332004 has 81 divisors (see below), whose sum is σ = 76371041019. Its totient is φ = 8577017280.

The previous prime is 27888331997. The next prime is 27888332053. The reversal of 27888332004 is 40023388872.

The square root of 27888332004 is 166998.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 876752100 + 27011579904 = 29610^2 + 164352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13024774 + ... + 13026914.

Almost surely, 227888332004 is an apocalyptic number.

27888332004 is the 166998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27888332004

27888332004 is an abundant number, since it is smaller than the sum of its proper divisors (48482709015).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27888332004 is a wasteful number, since it uses less digits than its factorization.

27888332004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 27888332004 in words is "twenty-seven billion, eight hundred eighty-eight million, three hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 2141 3042 4282 6084 6423 8564 12846 19269 25692 27833 38538 55666 77076 83499 111332 166998 250497 333996 361829 500994 723658 1001988 1085487 1447316 2170974 3256461 4341948 4583881 6512922 9167762 13025844 13751643 18335524 27503286 41254929 55006572 59590453 82509858 119180906 165019716 178771359 238361812 357542718 536314077 715085436 774675889 1072628154 1549351778 2145256308 2324027667 3098703556 4648055334 6972083001 9296110668 13944166002 27888332004